Arithmetic Series Summary, Study Guides, Projects, Research of Mathematics

Download Arithmetic Series Summary and more Study Guides, Projects, Research Mathematics in PDF only on Docsity! Arithmetic Series Summary Notes An arithmetic series (AS) is the indicated sum of an arithmetic sequence (AP) represents the partial sum of a series! To find a partial sum, just add up the indicated number of terms. If there’s a lot of terms, use this formula: Knowing the first term and one other term is key to finding the sum. If you need to find a term in between two values… -Subtract the earlier term from the later term -Divide by the number of terms between the two terms -And you’ll get your common difference! -Then, use your common difference and this formula, inserting in the proper values… -Then you’ll get the value/term that you’re looking for! The sum of a series can be written by using a shorthand method called sigma notation (my least favorite way of writing things lol) Read this excerpt directly from the notes; it’s not too hard to understand 😊 To write a sigma notation, you’ll want to use the arithmetic sequence formula to find your general nth term. For example: Use sigma notation to write 3+3+9+… for 33 terms.